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Determine the four- and five-digits palindromes that are perfect squares.

 Nov 9, 2019
 #1
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.........

 Nov 9, 2019
 #2
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There is no methodical reasoning behind five-digit perfect square palindromes. It's a matter of squaring all the numbers from 100 to 316.

(3172 = 100489)

 

1012 = 10201

1112 = 12321

1212 = 14621

2022 = 40804

2122 = 44944

2642  = 69696

3072 = 94249

 

For four-digit perfect square plaindromes... there are none!

 

So, your answer would be the 7 five-digit perfect square palindromes that we stated above.

 Nov 9, 2019
edited by mathleteig  Nov 9, 2019
 #3
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I only found these few. I may have missed one or two:

 

10,201,  12,321,   14,641,   44,944,   69,696,   94,249

 Nov 9, 2019
 #4
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Sorry, I missed : 40,804. So, there are only 7 such numbers.

Guest Nov 9, 2019
 #5
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What about the 4-digit ones?

 Nov 9, 2019
 #6
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Tere aren't any.....sorry

Guest Nov 9, 2019

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